
A wrecked oil tanker ship is leaking, causing a circular oil spill on the ocean surface. The radius of the oil spill in kilometers t 

 hours after the ship is wrecked is given by the function R(t). 

 . Interpret the expression R(10) =2.5 

. Include units.




The expression \( R(10) = 2.5 \) means that 10 hours after the ship was wrecked, the radius of the oil spill is 2.5 kilometers. 

### Explanation:
- **\( R(t) \)** represents the radius of the oil spill in kilometers as a function of time \( t \), where \( t \) is measured in hours.
- In this case, when \( t = 10 \) hours, the expression \( R(10) = 2.5 \) tells us that the oil spill has spread to have a radius of 2.5 kilometers.

This means that the distance from the center of the spill to its edge is 2.5 kilometers at the 10-hour mark.

Would you like more details or have any other questions?

Here are 5 related questions for further exploration:
1. How do you find the area of the oil spill if you know the radius as a function of time?
2. What happens to the rate of expansion of the oil spill if the function for \( R(t) \) changes?
3. If the radius doubles every 5 hours, what would be the formula for \( R(t) \)?
4. How do you calculate the volume of oil on the surface given the thickness of the spill?
5. What mathematical models can describe the spread of an oil spill over time?

**Tip:** When interpreting a mathematical expression, always pay attention to the units to understand what each number represents in real-world terms.

A wrecked oil tanker ship is leaking, causing a circular oil spill on the ocean surface. The radius of the oil spill in kilometers t hours after the ship is wrecked is given by the function R(t). Interpret the expression R(10) = 2.5. Include units.

Learn how to interpret the expression R(10) = 2.5, which represents the radius of an oil spill 10 hours after a shipwreck. This problem explores the function of time-dependent radius and units interpretation, suitable for students in Grades 9-12.

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